2101567000 has 64 divisors (see below), whose sum is σ = 5295981600. Its totient is φ = 775958400.

The previous prime is 2101566967. The next prime is 2101567001. The reversal of 2101567000 is 7651012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101567001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67830 + ... + 93829.

Almost surely, 2^2101567000 is an apocalyptic number.

2101567000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101567000 is an abundant number, since it is smaller than the sum of its proper divisors (3194414600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101567000 is a wasteful number, since it uses less digits than its factorization.

2101567000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161693 (or 161679 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 2101567000 is about 45842.8511329738. The cubic root of 2101567000 is about 1280.8976044541.

It can be divided in two parts, 210156 and 7000, that added together give a square (217156 = 466²).

The spelling of 2101567000 in words is "two billion, one hundred one million, five hundred sixty-seven thousand".